That would be the difference, wouldn't. One thing to accept the results, another to accept the man. South Carolina, Georgia, Alabama, Florida, Mississippi, Lousiana, and Texas didn't accept the man so from December 1860 through February 1861 they excirsised what they felt was their right to leave the union. It wasn't the first time states had considered doing so, but it was the first time it had happened.

Edit: Wow, must really have been tired, I had seccesion doing a time warp. Edited 1960 to the proper 1860.